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Mathematical Problems in Engineering
Volume 2014, Article ID 929810, 12 pages
Research Article

Resonant Orbital Dynamics in LEO Region: Space Debris in Focus

1Universidade Federal de São Paulo (UNIFESP), 12231-280 São José dos Campos, SP, Brazil
2AMU, Astronomical Observatory, 60-286 Poznan, Poland
3Instituto Tecnológico de Aeronáutica (ITA), 12228-900 São José dos Campos, SP, Brazil

Received 21 December 2013; Accepted 17 February 2014; Published 13 April 2014

Academic Editor: Antonio F. Bertachini A. Prado

Copyright © 2014 J. C. Sampaio et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The increasing number of objects orbiting the earth justifies the great attention and interest in the observation, spacecraft protection, and collision avoidance. These studies involve different disturbances and resonances in the orbital motions of these objects distributed by the distinct altitudes. In this work, objects in resonant orbital motions are studied in low earth orbits. Using the two-line elements (TLE) of the NORAD, resonant angles and resonant periods associated with real motions are described, providing more accurate information to develop an analytical model that describes a certain resonance. The time behaviors of the semimajor axis, eccentricity, and inclination of some space debris are studied. Possible irregular motions are observed by the frequency analysis and by the presence of different resonant angles describing the orbital dynamics of these objects.